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Finding the Fourth Proportional to 47,021.52, 64,879.56 and 27,138

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Solution

The fourth proportional to 47,021.52, 64,879.56 and 27,138 is: 37,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,021.52 : 64,879.56 = 27,138 : x
  2. Step 2: Convert to fraction form
    47,021.52/64,879.56 = 27,138/x
  3. Step 3: Cross multiply
    47,021.52x = 64,879.56 × 27,138
  4. Step 4: Simplify right side
    47,021.52x = 1,760,701,499.28
  5. Step 5: Solve for x
    x = 1,760,701,499.28/47,021.52
  6. Step 6: Final answer
    x = 37,444.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.